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Serjik [45]
3 years ago
10

At a video store, you have two options for renting movies. You can pay $4 per movie, or you can pay a one-time membership fee of

$10 and then pay only $1.50 per movie. After how many movie rentals will the cost of renting movies with the membership be less than the cost of renting movies without the membership?
(PLZ HELP)
Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

Let x stand for a movie.

You can pay $4 every movie or $1.50 for every movie plus the original $10

    4x = 1.50x +10

-1.50x  -1.50x     (Subtraction Property of Equality)

  2.50x = 10

/2.50     /2.50   (Division Property of Equality)

x = 4

After 4 movies, the membership will cost less.


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Hello from MrBillDoesMath!

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Case 1: x is a real number. In this case f(x) has no real solution.

Case 2: x is a complex number. In this case the roots of f(x) are

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Add 1 to both sides of the given equation:

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2(x-3)^2 = -24   (*)


Case 1: x is a real number. In that case as the square (x-3)^2 is always >0, so (*) has no real solution.

Case 2. x is a complex number ( a + bi, where a <> 0).  In this case divide both sides of (*) by 2,

(x-3)^2 = -24/2 = -12 =>

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Add 3 to both sides gives

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Thank you,

MrB

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